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For an object moving in uniform circular motion, which of the following must be true? The object must travel with a constant velocity and a constant speed. The object must be travelling at a constant velocity. The object must be travelling at a constant speed. The object must travel with a constant acceleratio

Question

For an object moving in uniform circular motion, which of the following must be true? The object must travel with a constant velocity and a constant speed. The object must be travelling at a constant velocity. The object must be travelling at a constant speed. The object must travel with a constant acceleratio

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Solution

For an object moving in uniform circular motion, the following must be true:

  1. The object must be travelling at a constant speed. This is because uniform circular motion implies that the object is moving in a circle at a steady speed. However, the direction of the object is constantly changing as it moves around the circle.

  2. The object does not travel with a constant velocity. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. Even though the speed of the object is constant, the direction is constantly changing, so the velocity is not constant.

  3. The object must travel with a constant acceleration. This is because the object is always changing its direction of motion, which means it is always accelerating towards the center of the circle. This acceleration is known as centripetal acceleration.

So, the correct statement is: The object must be travelling at a constant speed and must travel with a constant acceleration.

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